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Finding the Fourth Proportional to 457.52, 684.65 and 318.02

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Solution

The fourth proportional to 457.52, 684.65 and 318.02 is: 475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.52 : 684.65 = 318.02 : x
  2. Step 2: Convert to fraction form
    457.52/684.65 = 318.02/x
  3. Step 3: Cross multiply
    457.52x = 684.65 × 318.02
  4. Step 4: Simplify right side
    457.52x = 217,729.76
  5. Step 5: Solve for x
    x = 217,729.76/457.52
  6. Step 6: Final answer
    x = 475.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.